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08/24/2023
A Riemannian optimization method to compute the nearest singular pencil
Given a square pencil A+ λ B, where A and B are complex matrices, we con...
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07/26/2023
Generating functions of non-backtracking walks on weighted digraphs: radius of convergence and Ihara's theorem
It is known that the generating function associated with the enumeration...
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03/18/2023
Computing a compact local Smith McMillan form
We define a compact local Smith-McMillan form of a rational matrix R(λ) ...
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12/16/2022
The 𝔻𝕃(P) vector space of pencils for singular matrix polynomials
Given a possibly singular matrix polynomial P(z), we study how the eigen...
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11/28/2022
On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of *-palindromic matrix polynomials
We study the eigendecompositions of para-Hermitian matrices H(z), that i...
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10/28/2022
Revisiting the matrix polynomial greatest common divisor
In this paper we revisit the greatest common right divisor (GCRD) extrac...
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07/14/2022
Perturbation theory of transfer function matrices
Zeros of rational transfer function matrices R(λ) are the eigenvalues of...
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11/03/2021
On role extraction for digraphs via neighbourhood pattern similarity
We analyse the recovery of different roles in a network modelled by a di...
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10/28/2021
On computing root polynomials and minimal bases of matrix pencils
We revisit the notion of root polynomials, thoroughly studied in [F. Dop...
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09/22/2021
Relative-error stability of numerical algorithms
We formalize the definition of a stable algorithm that is (i) adapted to...
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07/16/2021
Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions
Tropical roots of tropical polynomials have been previously studied and ...
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12/05/2020
A Theory for Backtrack-Downweighted Walks
We develop a complete theory for the combinatorics of walk-counting on a...
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02/17/2020
Nearest Ω-stable matrix via Riemannian optimization
We study the problem of finding the nearest Ω-stable matrix to a certain...
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12/09/2019
Structured backward errors in linearizations
A standard approach to compute the roots of a univariate polynomial is t...
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05/14/2019